The generator matrix

 1  0  1  1  1  0  1  1  2  1  1  6  1  2  1  2  4  0  1  2  1  1  1  1  1  1  1  1
 0  1  1  0  3  1  2  3  1  6  5  1  0  4  3  2  1  1  4  2  1  2  6  3  3  0  4  0
 0  0  2  6  0  6  2  6  2  0  0  0  4  2  0  2  2  0  2  2  2  2  0  4  4  0  2  0
 0  0  0  4  0  0  0  0  0  0  4  4  0  4  0  4  0  4  4  0  4  0  4  4  0  0  4  0
 0  0  0  0  4  0  0  0  0  0  4  0  0  0  4  4  0  4  4  4  4  0  0  0  4  4  0  0
 0  0  0  0  0  4  0  0  0  0  4  0  4  4  4  0  0  4  4  4  0  4  4  4  0  4  4  4
 0  0  0  0  0  0  4  0  0  0  4  4  0  0  4  0  4  4  0  0  4  4  4  4  4  4  0  4
 0  0  0  0  0  0  0  4  0  0  0  4  4  4  4  0  0  4  0  0  4  0  0  4  0  0  4  4
 0  0  0  0  0  0  0  0  4  0  4  0  4  4  0  4  4  0  4  4  0  4  0  0  0  0  0  4
 0  0  0  0  0  0  0  0  0  4  0  0  4  0  4  4  4  4  0  4  0  4  0  4  4  4  4  4

generates a code of length 28 over Z8 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+42x^18+28x^19+157x^20+176x^21+533x^22+760x^23+1292x^24+2536x^25+3667x^26+4688x^27+5044x^28+4680x^29+3490x^30+2568x^31+1544x^32+760x^33+416x^34+148x^35+141x^36+40x^37+41x^38+10x^40+3x^42+2x^44+1x^48

The gray image is a code over GF(2) with n=112, k=15 and d=36.
This code was found by Heurico 1.16 in 9.56 seconds.